In 1896 G. Frobenius proved: the degree of any (absolutely) irreducible representation of a finite group divides its order. This theorem was improved by I. Schur in 1904 as follows: the degree of any irreducible representation of a finite group divides the index of its centre.
No takes yet. Share an insight, caveat, or question.
Noboru Ιτο (1951) studied this question.